Prove that thickness of k17-{one edge} is 3 or 4? k17-{one edge} has 135 edges

Prove that thickness of k17-{one edge} is 3 or 4?

k17-{one edge} has 135 edges

Expert Solution

The thickness of a graph G, denoted θ(G), is the
smallest number of planar subgraphs into which G can be decomposed.
That is, find the optimal way to partition of the edge set of G into disjoint subsets, each of which is a planar graph.
So if G is planar, θ(G) = 1, and if G is non-planar, cr(G) ≥ 2.

Thickness of K17 is 4.

venereology answered 1 year ago

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Question

Prove that thickness of k17-{one edge} is 3 or 4? k17-{one edge} has 135 edges

Solutions

Expert Solution

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